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Finding the Fourth Proportional to 9,507.26, 14,259.06 and 3,663.11

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Solution

The fourth proportional to 9,507.26, 14,259.06 and 3,663.11 is: 5,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.26 : 14,259.06 = 3,663.11 : x
  2. Step 2: Convert to fraction form
    9,507.26/14,259.06 = 3,663.11/x
  3. Step 3: Cross multiply
    9,507.26x = 14,259.06 × 3,663.11
  4. Step 4: Simplify right side
    9,507.26x = 52,232,433.98
  5. Step 5: Solve for x
    x = 52,232,433.98/9,507.26
  6. Step 6: Final answer
    x = 5,493.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.